Advertisements
Advertisements
प्रश्न
The value of \[\sqrt{5 + 2\sqrt{6}}\] is
विकल्प
\[\sqrt{3} - \sqrt{2}\]
\[\sqrt{3} + \sqrt{2}\]
\[\sqrt{5} + \sqrt{6}\]
none of these
उत्तर
Given that:`sqrt(5+2sqrt6)`.It can be written in the form `(a-b )^2 = a^2 +b^2 - 2 ab` as
`sqrt(5+2sqrt6) = sqrt(3+2+2xxsqrt3 xxsqrt2)`
` =sqrt((sqrt3)^2 + (sqrt2)^2+ 2 xx sqrt3 xxsqrt2)`
`= sqrt((sqrt3+sqrt2)^2)`
` = sqrt3 +sqrt2.`
APPEARS IN
संबंधित प्रश्न
Simplify:-
`2^(2/3). 2^(1/5)`
Solve the following equation for x:
`2^(5x+3)=8^(x+3)`
Assuming that x, y, z are positive real numbers, simplify the following:
`(sqrt2/sqrt3)^5(6/7)^2`
Solve the following equation:
`4^(x-1)xx(0.5)^(3-2x)=(1/8)^x`
If `2^x xx3^yxx5^z=2160,` find x, y and z. Hence, compute the value of `3^x xx2^-yxx5^-z.`
If `x = a^(m+n),` `y=a^(n+l)` and `z=a^(l+m),` prove that `x^my^nz^l=x^ny^lz^m`
State the quotient law of exponents.
When simplified \[( x^{- 1} + y^{- 1} )^{- 1}\] is equal to
If \[4x - 4 x^{- 1} = 24,\] then (2x)x equals
When simplified \[(256) {}^{- ( 4^{- 3/2} )}\] is
